| 1. | After unimodular simplices, lattice parallelepipeds are the simplest normal polytopes.
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| 2. | Since each face has point symmetry, a parallelepiped is a zonohedron.
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| 3. | The faces are in general chiral, but the parallelepiped is not.
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| 4. | Since parallelepipeds can combination of regular tetrahedra and regular octahedra.
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| 5. | Some perfect parallelepipeds having two rectangular faces are known.
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| 6. | Also they are the parallelepipeds with congruent rhombic faces.
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| 7. | Thus the faces of a parallelepiped are planar, with opposite faces being parallel.
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| 8. | The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron.
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| 9. | Similarly, a three-vector in three dimensions measures the volume of a parallelepiped.
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| 10. | But this is just the scalar triple product, which defines the volume of a parallelepiped.
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